Note that Ind(P ) is a virtual G-representation. Let chg(Ind(P )) with g ∈G be the equivariant Chern character of Ind(P ) evaluated at g. In this paper, we first prove a family fixed-point formula that expresses chg(Ind(P )) in terms of the geometric data on the fixed points X of the fiber of π . Then by applying this formula, we generalize the Witten rigidity theorems and several vanishing the...

We show that an anomaly-free description of matter in (1+1) dimensions requires a correction of the 2d relativity principle, which is connected to a noncommutativity of 2d Minkowski space that introduces a 2d Planck length. Then, in order to dynamically describe this noncommutative structure of the tangent space, we propose to extend the usual 2d generalized dilaton gravity models by a non-stan...

cornelia de lange syndrome (cdls) is an uncommon multiple congenital anomaly with unknown cause and recurrent risk and may be the result of an inheritance metabolic error. in classical form of the syndrome there is a recognizable facial appearance at birth although in children with mild disease this may be less obvious at birth but become more noticeable over the first three years of life. in t...

In this paper, we investigate the presence of Halloween effect in long-term reversal anomaly US. When examine cross-sectional returns winner-minus-loser portfolios formed on prior over time period 1931-2021, find evidence stronger during winter months versus summer months. particular, appears to be driven by very strong winter-summer seasonality portfolio small-capitalisation losers, and lack l...

Palaeoclimate variability must be constrained to predict the nature and impacts of future climate change in Eastern Mediterranean. Here, we present a late Holocene high-resolution multiproxy data set from Kocain Cave, first its kind SW Turkey. Regional fluctuations effective-moisture are recorded by variations magnesium, strontium, phosphorous carbon isotopes, with oxygen isotopes reacting chan...